3(x-1)(x-1)+5x=5

Solution for 3(x-1)(x-1)+5x=5 equation:

Simplifying
3(x + -1)(x + -1) + 5x = 5

Reorder the terms:
3(-1 + x)(x + -1) + 5x = 5

Reorder the terms:
3(-1 + x)(-1 + x) + 5x = 5

Multiply (-1 + x) * (-1 + x)
3(-1(-1 + x) + x(-1 + x)) + 5x = 5
3((-1 * -1 + x * -1) + x(-1 + x)) + 5x = 5
3((1 + -1x) + x(-1 + x)) + 5x = 5
3(1 + -1x + (-1 * x + x * x)) + 5x = 5
3(1 + -1x + (-1x + x2)) + 5x = 5

Combine like terms: -1x + -1x = -2x
3(1 + -2x + x2) + 5x = 5
(1 * 3 + -2x * 3 + x2 * 3) + 5x = 5
(3 + -6x + 3x2) + 5x = 5

Reorder the terms:
3 + -6x + 5x + 3x2 = 5

Combine like terms: -6x + 5x = -1x
3 + -1x + 3x2 = 5

Solving
3 + -1x + 3x2 = 5

Solving for variable 'x'.

Reorder the terms:
3 + -5 + -1x + 3x2 = 5 + -5

Combine like terms: 3 + -5 = -2
-2 + -1x + 3x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-2 + -1x + 3x2 = 0

Factor a trinomial.
(-2 + -3x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-0.6666666667, 1}